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Finding the Fourth Proportional to 37.62, 56.40 and 29.94

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Solution

The fourth proportional to 37.62, 56.40 and 29.94 is: 44.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.62 : 56.40 = 29.94 : x
  2. Step 2: Convert to fraction form
    37.62/56.40 = 29.94/x
  3. Step 3: Cross multiply
    37.62x = 56.40 × 29.94
  4. Step 4: Simplify right side
    37.62x = 1,688.62
  5. Step 5: Solve for x
    x = 1,688.62/37.62
  6. Step 6: Final answer
    x = 44.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.